On the transcendence of some power series


Gozeri G. K. , Pekin A. , Kilicman A.

ADVANCES IN DIFFERENCE EQUATIONS, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2013
  • Doi Number: 10.1186/1687-1847-2013-17
  • Title of Journal : ADVANCES IN DIFFERENCE EQUATIONS

Abstract

In this study, we consider some power series with rational coefficients and investigate transcendence of the values of these series for Liouville number arguments. It is proved that these values are either a Liouville number or a rational number under certain conditions.